Galois group search results

Results (1-50 of 306 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
39T1	$C_{39}$	$39$	$1$	✓	$1$	$39$	$C_3$, $C_{13}$
39T2	$C_{13}:C_3$	$39$	$1$	✓	$-1$	$7$	$C_3$, $C_{13}:C_3$	13T3
39T3	$S_3\times C_{13}$	$78$	$-1$	✓	$-1$	$39$	$S_3$, $C_{13}$
39T4	$D_{39}$	$78$	$-1$	✓	$-1$	$21$	$S_3$, $D_{13}$
39T5	$C_3\times D_{13}$	$78$	$1$	✓	$-1$	$24$	$C_3$, $D_{13}$
39T6	$C_{13}:C_6$	$78$	$1$	✓	$-1$	$8$	$C_3$, $C_{13}:C_6$	13T5, 26T6
39T7	$C_{39}:C_3$	$117$	$1$	✓	$-1$	$21$	$C_3$, $C_{13}:C_3$	39T7 x 2
39T8	$S_3\times D_{13}$	$156$	$-1$	✓	$-1$	$24$	$S_3$, $D_{13}$
39T9	$C_{39}:C_4$	$156$	$1$	✓	$-1$	$15$	$S_3$, $C_{13}:C_4$
39T10	$C_{13}:C_{12}$	$156$	$-1$	✓	$-1$	$21$	$C_3$, $C_{13}:C_4$
39T11	$F_{13}$	$156$	$-1$	✓	$-1$	$13$	$C_3$, $F_{13}$	13T6, 26T8
39T12	$C_{39}:C_6$	$234$	$-1$	✓	$-1$	$21$	$S_3$, $C_{13}:C_3$
39T13	$C_{39}:C_6$	$234$	$1$	✓	$-1$	$24$	$C_3$, $C_{13}:C_6$	39T13 x 2
39T14	$C_{39}:C_6$	$234$	$-1$	✓	$-1$	$15$	$S_3$, $C_{13}:C_6$
39T15	$D_{39}:C_4$	$312$	$-1$	✓	$-1$	$21$	$S_3$, $C_{13}:C_4$
39T16	$C_3^3:C_{13}$	$351$	$1$	✓	$-1$	$15$	$C_{13}$	27T134
39T17	$D_{39}:C_6$	$468$	$-1$	✓	$-1$	$24$	$S_3$, $C_{13}:C_6$
39T18	$C_{39}:C_{12}$	$468$	$1$	✓	$-1$	$21$	$S_3$, $F_{13}$
39T19	$C_3\times F_{13}$	$468$	$-1$	✓	$-1$	$39$	$C_3$, $F_{13}$	39T19 x 2
39T20	$C_{13}^2:C_3$	$507$	$1$	✓	$-1$	$59$	$C_3$	39T20 x 3
39T21	$C_{13}:C_{39}$	$507$	$1$	✓	$-1$	$91$	$C_3$	39T21 x 3
39T22	$C_3^3:C_{26}$	$702$	$-1$	✓	$-1$	$27$	$C_{13}$	27T219
39T23	$S_3\times F_{13}$	$936$	$-1$	✓	$-1$	$39$	$S_3$, $F_{13}$
39T24	$C_{13}^2:C_6$	$1014$	$1$	✓	$-1$	$34$	$C_3$	39T24 x 3
39T25	$C_{13}^2:C_6$	$1014$	$1$	✓	$-1$	$50$	$C_3$	39T25 x 3
39T26	$C_{13}^2:S_3$	$1014$	$-1$	✓	$-1$	$49$	$S_3$	26T14, 39T27
39T27	$C_{13}^2:S_3$	$1014$	$-1$	✓	$-1$	$49$	$S_3$	26T14, 39T26
39T28	$C_3^3:C_{39}$	$1053$	$1$	✓	$-1$	$45$	$C_{13}$	39T28
39T29	$C_3^3:C_{13}:C_3$	$1053$	$1$	✓	$-1$	$13$	$C_{13}:C_3$	27T292, 39T30 x 2
39T30	$C_3^3:C_{13}:C_3$	$1053$	$1$	✓	$-1$	$13$	$C_{13}:C_3$	27T292, 39T29, 39T30
39T31	$C_{13}^2:C_3^2$	$1521$	$1$	✓	$-1$	$49$	$C_3$	39T31 x 3
39T32	$C_{13}:F_{13}$	$2028$	$-1$	✓	$-1$	$26$	$C_3$	39T32 x 3
39T33	$C_{13}:F_{13}$	$2028$	$-1$	✓	$-1$	$34$	$C_3$	39T33 x 3
39T34	$C_{13}^2:D_6$	$2028$	$-1$	✓	$-1$	$38$	$S_3$	26T23, 39T34
39T35	$C_{13}^2:C_3:C_4$	$2028$	$1$	✓	$-1$	$20$	$S_3$	26T24, 39T35
39T36	$C_3^4:C_{26}$	$2106$	$-1$	✓	$-1$	$42$	$C_{13}$	39T36
39T37	$\AGammaL(1,27)$	$2106$	$-1$	✓	$-1$	$17$	$C_{13}:C_3$	27T422
39T38	$C_{13}^2:(C_3\times C_6)$	$3042$	$1$	✓	$-1$	$38$	$C_3$	39T38 x 3
39T39	$C_{13}^2:(C_3\times S_3)$	$3042$	$-1$	✓	$-1$	$35$	$S_3$	26T27, 39T40
39T40	$C_{13}^2:(C_3\times S_3)$	$3042$	$-1$	✓	$-1$	$35$	$S_3$	26T27, 39T39
39T41	$C_3^3:C_{39}:C_3$	$3159$	$1$	✓	$-1$	$39$	$C_{13}:C_3$	39T41 x 5
39T42	$C_{13}^2:(C_4\times S_3)$	$4056$	$-1$	✓	$-1$	$28$	$S_3$	26T30, 39T42
39T43	$\PSL(3,3)$	$5616$	$1$		$-1$	$12$	$\PSL(3,3)$	13T7 x 2, 26T39 x 2, 39T43
39T44	$C_{13}:(C_3\times F_{13})$	$6084$	$-1$	✓	$-1$	$46$	$C_3$	39T44 x 3
39T45	$C_{13}^2:C_3:C_{12}$	$6084$	$1$	✓	$-1$	$28$	$S_3$	26T41, 39T45
39T46	$C_{13}^2:(C_6\times S_3)$	$6084$	$-1$	✓	$-1$	$34$	$S_3$	26T40, 39T46
39T47	$C_3^3:C_{39}:C_6$	$6318$	$-1$	✓	$-1$	$30$	$C_{13}:C_3$	39T47
39T48	$C_{13}\wr C_3$	$6591$	$1$	✓	$-1$	$767$	$C_3$	39T48 x 47
39T49	$C_3^6:C_{13}$	$9477$	$1$	✓	$-1$	$69$	$C_{13}$	39T49 x 25
39T50	$C_3^6:C_{13}$	$9477$	$1$	✓	$-1$	$69$	$C_{13}$	39T50 x 25

 

Results are complete for degrees $\leq 23$.